126668847744 has 192 divisors, whose sum is σ = 370240416000. Its totient is φ = 41561634816.

The previous prime is 126668847733. The next prime is 126668847763. The reversal of 126668847744 is 447748866621.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32669934 + ... + 32673810.

It is an arithmetic number, because the mean of its divisors is an integer number (1928335500).

Almost surely, 2^126668847744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126668847744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185120208000).

126668847744 is an abundant number, since it is smaller than the sum of its proper divisors (243571568256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126668847744 is a wasteful number, since it uses less digits than its factorization.

126668847744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4320 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 126668847744 in words is "one hundred twenty-six billion, six hundred sixty-eight million, eight hundred forty-seven thousand, seven hundred forty-four".